Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 9737062, 9 pages
https://doi.org/10.1155/2017/9737062
Research Article

A Simultaneous Iteration Algorithm for Solving Extended Split Equality Fixed Point Problem

1School of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, China
2College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China

Correspondence should be addressed to Meixia Li

Received 16 January 2017; Accepted 20 March 2017; Published 6 April 2017

Academic Editor: Roberto Fedele

Copyright © 2017 Meixia Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Y. Censor, T. Bortfeld, B. Martin, and A. Trofimov, “A unified approach for inversion problems in intensity-modulated radiation therapy,” Physics in Medicine and Biology, vol. 51, no. 10, pp. 2353–2365, 2006. View at Publisher · View at Google Scholar · View at Scopus
  2. Y. Censor, A. Motova, and A. Segal, “Perturbed projections and subgradient projections for the multiple-sets split feasibility problem,” Journal of Mathematical Analysis and Applications, vol. 327, no. 2, pp. 1244–1256, 2007. View at Publisher · View at Google Scholar · View at Scopus
  3. Q. Yang, “The relaxed CQ algorithm solving the split feasibility problem,” Inverse Problems, vol. 20, no. 4, pp. 1261–1266, 2004. View at Publisher · View at Google Scholar · View at Scopus
  4. B. Qu and N. Xiu, “A new halfspace-relaxation projection method for the split feasibility problem,” Linear Algebra and Its Applications, vol. 428, no. 5-6, pp. 1218–1229, 2008. View at Publisher · View at Google Scholar · View at Scopus
  5. Y. Censor, T. Elfving, N. Kopf, and T. Bortfeld, “The multiple-sets split feasibility problem and its applications for inverse problems,” Inverse Problems, vol. 21, no. 6, pp. 2071–2084, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  6. H.-K. Xu, “Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces,” Inverse Problems, vol. 26, no. 10, Article ID 105018, 17 pages, 2010. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Moudafi, “Alternating CQ-algorithms for convex feasibility and split fixed-point problems,” Journal of Nonlinear and Convex Analysis, vol. 15, no. 4, pp. 809–818, 2014. View at Google Scholar · View at MathSciNet
  8. A. Moudafi, “A relaxed alternating CQ-algorithm for convex feasibility problems,” Nonlinear Analysis, Theory, Methods and Applications, vol. 79, no. 1, pp. 117–121, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  9. H. Che and M. Li, “A simultaneous iterative method for split equality problems of two finite families of strictly pseudononspreading mappings without prior knowledge of operator norms,” Fixed Point Theory and Applications, vol. 2015, article 1, 2015. View at Publisher · View at Google Scholar · View at Scopus
  10. S.-S. Chang, L. Wang, and L.-J. Qin, “Split equality fixed point problem for quasi-pseudo-contractive mappings with applications,” Fixed Point Theory and Applications, vol. 2015, article 208, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. W. Takahashi, “The split feasibility problem and the shrinking projection method in banach spaces,” Journal of Nonlinear and Convex Analysis, vol. 16, no. 7, pp. 1449–1459, 2015. View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  12. F. Schopfer, T. Schuster, and A. K. Louis, “An iterative regularization method for the solution of the split feasibility problem in Banach spaces,” Inverse Problems, vol. 24, no. 5, Article ID 055008, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. F. Wang, “A new algorithm for solving the multiple-sets split feasibility problem in Banach spaces,” Numerical Functional Analysis and Optimization, vol. 35, no. 1, pp. 99–110, 2014. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  14. Y. Shehu, O. S. Iyiola, and C. D. Enyi, “An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces,” Numerical Algorithms, vol. 72, no. 4, pp. 835–864, 2016. View at Publisher · View at Google Scholar · View at Scopus
  15. Z. H. He and J. T. Sun, “The problem of split convex feasibility and its alternating approximation algorithms,” Acta Mathematica Sinica, English Series, vol. 31, no. 12, pp. 1857–1871, 2015. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  16. S.-S. Chang, “Some problems and results in the study of nonlinear analysis,” Nonlinear Analysis, Theory, Methods and Applications, vol. 30, no. 7, pp. 4197–4208, 1997. View at Publisher · View at Google Scholar · View at Scopus